Decentralized adaptive pinning control for cluster synchronization of complex dynamical networks

Housheng Su, Zhihai Rong, Michael Z. Q. Chen, Xiaofan Wang, Guanrong Chen, Hongwei Wang

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

276 Citations (Scopus)

Abstract

In this brief, we investigate pinning control for cluster synchronization of undirected complex dynamical networks using a decentralized adaptive strategy. Unlike most existing pinning-control algorithms with or without an adaptive strategy, which require global information of the underlying network such as the eigenvalues of the coupling matrix of the whole network or a centralized adaptive control scheme, we propose a novel decentralized adaptive pinning-control scheme for cluster synchronization of undirected networks using a local adaptive strategy on both coupling strengths and feedback gains. By introducing this local adaptive strategy on each node, we show that the network can synchronize using weak coupling strengths and small feedback gains. Finally, we present some simulations to verify and illustrate the theoretical results. © 2012 IEEE.
Original languageEnglish
Pages (from-to)394-399
JournalIEEE Transactions on Cybernetics
Volume43
Issue number1
DOIs
Publication statusPublished - Feb 2013

Research Keywords

  • Cluster synchronization
  • Complex dynamical network
  • Local decentralized adaptive strategy
  • Pinning control

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